11635820 has 48 divisors (see below), whose sum is σ = 29574720. Its totient is φ = 3753984.

The previous prime is 11635801. The next prime is 11635849. The reversal of 11635820 is 2853611.

It is a self number, because there is not a number n which added to its sum of digits gives 11635820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (616140).

Almost surely, 2^11635820 is an apocalyptic number.

11635820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11635820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787360).

11635820 is an abundant number, since it is smaller than the sum of its proper divisors (17938900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11635820 is a wasteful number, since it uses less digits than its factorization.

11635820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 11635820 is about 3411.1317769913. The cubic root of 11635820 is about 226.6030049975.

The spelling of 11635820 in words is "eleven million, six hundred thirty-five thousand, eight hundred twenty".